Interface Energy in the Edwards-Anderson model

Abstract

We numerically investigate the spin glass energy interface problem in three dimensions. We analyze the energy cost of changing the overlap from -1 to +1 at one boundary of two coupled systems (in the other boundary the overlap is kept fixed to +1). We implement a parallel tempering algorithm that simulate finite temperature systems and work with both cubic lattices and parallelepiped with fixed aspect ratio. We find results consistent with a lower critical dimension $D_c=2.5$. The results show a good agreement with the mean field theory predictions.

arXiv comment5 pages; 7 figures; corrected typos; to appear in JSP

References in corpus (7)

• Stiffness of the Edwards-Anderson Model in all Dimensions
• Aspect-Ratio Scaling and The Stiffness Exponent $\theta$ for Ising Spin Glasses
• Interfaces and Lower Critical Dimension in a Spin Glass Model
• The stiffness exponent of two-dimensional Ising spin glasses for non-periodic boundary conditions using aspect-ratio scaling
• Critical thermodynamics of the two-dimensional +/-J Ising spin glass
• The critical behavior of 3D Ising glass models: universality and scaling corrections
• Critical interface: twisting spin glasses at $T_c$

Cited by in corpus (3)

• A Model for the Generation and Transmission of Variations in Evolution
• Support for the value 5/2 for the spin glass lower critical dimension at zero magnetic field
• Critical interface: twisting spin glasses at $T_c$